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Finding the Fourth Proportional to 520.52, 780.64 and 231.89

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Solution

The fourth proportional to 520.52, 780.64 and 231.89 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 780.64 = 231.89 : x
  2. Step 2: Convert to fraction form
    520.52/780.64 = 231.89/x
  3. Step 3: Cross multiply
    520.52x = 780.64 × 231.89
  4. Step 4: Simplify right side
    520.52x = 181,018.13
  5. Step 5: Solve for x
    x = 181,018.13/520.52
  6. Step 6: Final answer
    x = 347.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.